p_laplacian_post.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "eta.h"
void usage(string name) {
derr << name << ": usage: "
<< name << " "
<< "[-|file[.field[.gz]]] "
<< "[-check] "
<< "[-residue] "
<< "[-criteria] "
<< endl;
exit (1);
}
field residue (Float p, const field& uh) {
const space& Xh = uh.get_space();
trial u (Xh); test v (Xh);
field lh = integrate (v);
form m = integrate (u*v);
form a = integrate (compose (eta(p), norm2(grad(uh)))*dot(grad(u),grad(v)));
field mrh = a*uh - lh;
mrh["boundary"] = 0;
field rh (Xh);
problem pm (m);
pm.solve(mrh, rh);
rh["boundary"] = 0;
return rh;
}
void check (Float p, const field& uh) {
field rh = residue(p, uh);
const space& Xh = rh.get_space();
trial u (Xh); test v (Xh);
form m = integrate (u*v);
Float res = sqrt(m(rh,rh));
derr << "check: residue = " << res << endl;
check_macro (res < 1e-3, "unexpected residue");
}
field criteria (Float p, const field& uh) {
const space& Xh = uh.get_space();
if (uh.get_approx() == "P1") return interpolate (Xh, abs(uh));
return interpolate (Xh, pow(norm(grad(uh)), p/2));
}
void
load (idiststream& in, Float& p, field& uh) {
in >> catchmark("p") >> p
>> catchmark("u") >> uh;
}
int main(int argc, char**argv) {
environment rheolef (argc,argv);
if (argc < 3) usage(argv[0]);
Float p;
field uh;
if (string (argv[1]) == "-") {
load (din, p, uh);
} else {
idiststream in;
in.open(argv[1], "field");
load (in, p, uh);
}
for (int i = 2; i < argc; i++) {
if (strcmp (argv[i], "-check") == 0) { check (p, uh); }
else if (strcmp (argv[i], "-residue") == 0) { dout << catchmark("ru") << residue (p, uh); }
else if (strcmp (argv[i], "-criteria") == 0) { dout << catchmark("c") << criteria (p, uh); }
else {
derr << argv[0] << ": unknown option \'" << argv[i] << "'" << endl;
usage(argv[0]);
}
}
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
eta.h
The p-Laplacian problem – the eta function.
mkgeo_contraction.name
string name
Definition: mkgeo_contraction.sh:133
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::norm
T norm(const vec< T, M > &x)
norm(x): see the expression page for the full documentation
Definition: vec.h:387
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef::pow
space_mult_list< T, M > pow(const space_basic< T, M > &X, size_t n)
Definition: space_mult.h:120
rheolef::compose
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
residue
field residue(Float p, const field &uh)
Definition: p_laplacian_post.cc:35
main
int main(int argc, char **argv)
Definition: p_laplacian_post.cc:68
criteria
field criteria(Float p, const field &uh)
Definition: p_laplacian_post.cc:58
check
void check(Float p, const field &uh)
Definition: p_laplacian_post.cc:49
usage
void usage(string name)
Definition: p_laplacian_post.cc:25
load
void load(idiststream &in, Float &p, field &uh)
Definition: p_laplacian_post.cc:64
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
eta
Definition: eta.h:25
p
Definition: sphere.icc:25
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26